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What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?  
  • a)
    0.15(1-z-2)/(1+0.7z-2 )
  • b)
    0.15(1+z-2)/(1-0.7z-2 )
  • c)
    0.15(1-z-2)/(1-0.7z-2 )
  • d)
    0.15(1+z-2)/(1+0.7z-2 )
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the system function for a two pole band pass filter that has t...
Explanation: Clearly, the filter must have poles at P1,2=re±jπ/2 and zeros at z=1 and z=-1. Consequently the system function is
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Most Upvoted Answer
What is the system function for a two pole band pass filter that has t...
The system function for a two-pole bandpass filter can be represented as:

H(s) = (s^2 + ω0^2) / (s^2 + αω0s + ω0^2)

where ω0 is the center frequency of the passband and α is the damping factor.
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What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?a)0.15(1-z-2)/(1+0.7z-2)b)0.15(1+z-2)/(1-0.7z-2)c)0.15(1-z-2)/(1-0.7z-2)d)0.15(1+z-2)/(1+0.7z-2)Correct answer is option 'A'. Can you explain this answer?
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